Question

8y-102=2y+6

If 8y-102+3X =180

What is y and x

Answer 1

y = 18

x = 46

Explanation:

8y - 102 = 2y + 6

8y - 102 + 3x = 180

First, solve 8y - 102 = 2y + 6 for y:

8y - 102 = 2y + 6

8y - 2y = 6 + 102

6y = 108

y = 18

Now, substitute y into the equation 8y - 102 + 3x = 180 and solve for x:

8(18) - 102 + 3x = 180

144 + 3x = 180 + 102

3x = 282 - 144

3x = 138

x = 46

Check:

y = 18; x = 46

8(18) - 102 = 2(18) + 6

144 - 102 = 36 + 6

42 = 42

8(18) - 102 + 3(46) = 180

144 - 102 + 138 = 180

42 + 138 = 180

180 = 180